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Simplifying X + 2(x + -4) = 5(1 + -2x) Reorder the terms: X + 2(-4 + x) = 5(1 + -2x) X + (-4 * 2 + x * 2) = 5(1 + -2x) X + (-8 + 2x) = 5(1 + -2x) Reorder the terms: -8 + X + 2x = 5(1 + -2x) -8 + X + 2x = (1 * 5 + -2x * 5) -8 + X + 2x = (5 + -10x) Solving -8 + X + 2x = 5 + -10x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + X + 8 + 2x = 5 + 8 + -10x Reorder the terms: -8 + 8 + X + 2x = 5 + 8 + -10x Combine like terms: -8 + 8 = 0 0 + X + 2x = 5 + 8 + -10x X + 2x = 5 + 8 + -10x Combine like terms: 5 + 8 = 13 X + 2x = 13 + -10x Add '-2x' to each side of the equation. X + 2x + -2x = 13 + -10x + -2x Combine like terms: 2x + -2x = 0 X + 0 = 13 + -10x + -2x X = 13 + -10x + -2x Combine like terms: -10x + -2x = -12x X = 13 + -12x Simplifying X = 13 + -12x
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